Finite Group Databasebeta

← Group #10595557

Character table — Group #10595557

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112224444446688888812121216161616112224444446688888812121216161616112224444446688888812121216161616
order12488223366241212242424244486666361224246633666121212242424241212246666361224246633666121212242424241212246666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32
χ31111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32
χ411111-1-1111111111111-1-11-1-1-1-111111-1-1111111111111-1-11-1-1-1-111111-1-1111111111111-1-11-1-1-1-1
χ511111-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i321−i321−i3211111-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i321−i321−i3211111-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i321−i321−i32
χ611111-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i321+i321+i3211111-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i321+i321+i3211111-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i321+i321+i32
χ7111-1-11-111111111-1-1-1-11-1-11-11-1111-1-11-111111111-1-1-1-11-1-11-11-1111-1-11-111111111-1-1-1-11-1-11-11-1
χ8111-1-11-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-1−1−i321+i32−1+i321−i32111-1-11-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-1−1−i321+i32−1+i321−i32111-1-11-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-1−1−i321+i32−1+i321−i32
χ9111-1-11-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-1−1+i321−i32−1−i321+i32111-1-11-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-1−1+i321−i32−1−i321+i32111-1-11-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-1−1+i321−i32−1−i321+i32
χ10111-1-1-1111111111-1-1-1-1-11-1-11-11111-1-1-1111111111-1-1-1-1-11-1-11-11111-1-1-1111111111-1-1-1-1-11-1-11-11
χ11111-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-11+i32−1−i321−i32−1+i32111-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-11+i32−1−i321−i32−1+i32111-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-11+i32−1−i321−i32−1+i32
χ12111-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-11−i32−1+i321+i32−1−i32111-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-11−i32−1+i321+i32−1−i32111-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-11−i32−1+i321+i32−1−i32
χ1322-200002222-22-2-20000000000022-200002222-22-2-20000000000022-200002222-22-2-200000000000
χ1422-20000−1−i3−1+i3−1−i3−1+i3-221+i31−i30000000000022-20000−1−i3−1+i3−1−i3−1+i3-221+i31−i30000000000022-20000−1−i3−1+i3−1−i3−1+i3-221+i31−i300000000000
χ1522-20000−1+i3−1−i3−1+i3−1−i3-221−i31+i30000000000022-20000−1+i3−1−i3−1+i3−1−i3-221−i31+i30000000000022-20000−1+i3−1−i3−1+i3−1−i3-221−i31+i300000000000
χ1633333330000-1-1000000-1-1-1000033333330000-1-1000000-1-1-1000033333330000-1-1000000-1-1-10000
χ1733333-3-30000-1-100000011-1000033333-3-30000-1-100000011-1000033333-3-30000-1-100000011-10000
χ18333-3-33-30000-1-1000000-1110000333-3-33-30000-1-1000000-1110000333-3-33-30000-1-1000000-1110000
χ19333-3-3-330000-1-10000001-110000333-3-3-330000-1-10000001-110000333-3-3-330000-1-10000001-110000
χ204-4022−2200-2-22200002−22−200000004-4022−2200-2-22200002−22−200000004-4022−2200-2-22200002−22−20000000
χ214-4022−22001+i31−i3−1−i3−1+i30000−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ2300000004-4022−22001+i31−i3−1−i3−1+i30000−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ2300000004-4022−22001+i31−i3−1−i3−1+i30000−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ230000000
χ224-4022−22001−i31+i3−1+i3−1−i30000ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ1300000004-4022−22001−i31+i3−1+i3−1−i30000ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ1300000004-4022−22001−i31+i3−1+i3−1−i30000ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ130000000
χ234-40−222200-2-2220000−22−2200000004-40−222200-2-2220000−22−2200000004-40−222200-2-2220000−22−220000000
χ244-40−2222001+i31−i3−1−i3−1+i30000ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ2300000004-40−2222001+i31−i3−1−i3−1+i30000ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ2300000004-40−2222001+i31−i3−1−i3−1+i30000ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ230000000
χ254-40−2222001−i31+i3−1+i3−1−i30000−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ1300000004-40−2222001−i31+i3−1+i3−1−i30000−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ1300000004-40−2222001−i31+i3−1+i3−1−i30000−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ130000000
χ2666-6000000002-2000000000000066-6000000002-2000000000000066-6000000002-20000000000000
χ2711111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ281111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i3211
χ291111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32
χ3011111-1-1111111111111-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ3111111-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−1−i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1−i321−i321−i32−1+i32-1-11+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32111+i321+i32−1−i321−i321−i32-1-1
χ3211111-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32111−i321−i32−1+i321+i321+i32-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−1+i321−1+i32−1−i32−1−i321−1+i3211−1+i32−1+i321+i321+i32−1−i32-1-11−i321−i32
χ33111-1-11-111111111-1-1-1-11-1-11-11-1−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ34111-1-11-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-1−1−i321+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−1−i321−1−i32−1+i32−1+i321−1−i32-1-11+i321+i32−1+i321−i321−i321-1−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-1−1−i321+i321+i32−1+i321−i321-1
χ35111-1-11-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-1−1+i321−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-1−1+i321−i321−i32−1−i321+i321-1−1−i32−1−i32−1−i321+i321+i32−1−i321+i321−1+i321−1+i32−1−i32−1−i321−1+i32-1-11−i321−i32−1−i321+i321+i321-1−1+i321−i32
χ36111-1-1-1111111111-1-1-1-1-11-1-11-11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ37111-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-11+i32−1−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−1−i321−1−i32−1+i32−1+i321−1−i32-1-11+i321+i321−i32−1+i321−i32-111+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i32−1−i321+i321−i32−1+i32-11
χ38111-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-11−i32−1+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i32−1+i321−i321+i32−1−i32-11−1−i32−1−i32−1−i321+i321+i321+i32−1−i321−1+i321−1+i32−1−i32−1−i321−1+i32-1-11−i321−i321+i32−1−i321+i32-111−i32−1+i32
χ3922-200002222-22-2-200000000000−1+i3−1+i31−i30000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i300000000000−1−i3−1−i31+i30000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i300000000000
χ4022-20000−1−i3−1+i3−1−i3−1+i3-221+i31−i300000000000−1+i3−1+i31−i300002−1−i32−1−i31−i3−1+i3-21+i300000000000−1−i3−1−i31+i30000−1+i32−1+i321+i3−1−i31−i3-200000000000
χ4122-20000−1+i3−1−i3−1+i3−1−i3-221−i31+i300000000000−1+i3−1+i31−i30000−1−i32−1−i321−i3−1+i31+i3-200000000000−1−i3−1−i31+i300002−1+i32−1+i31+i3−1−i3-21−i300000000000
χ4233333330000-1-1000000-1-1-10000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i3200001−i321−i320000001−i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i3200001+i321+i320000001+i321+i321+i320000
χ4333333-3-30000-1-100000011-10000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i3200001−i321−i32000000−1+i32−1+i321−i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i3200001+i321+i32000000−1−i32−1−i321+i320000
χ44333-3-33-30000-1-1000000-1110000−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i3200001−i321−i320000001−i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i3200001+i321+i320000001+i32−1−i32−1−i320000
χ45333-3-3-330000-1-10000001-110000−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i3200001−i321−i32000000−1+i321−i32−1+i320000−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i3200001+i321+i32000000−1−i321+i32−1−i320000
χ464-4022−2200-2-22200002−22−20000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ23001−i31−i3−1+i3−1+i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ13001+i31+i3−1−i3−1−i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000
χ474-4022−22001+i31−i3−1−i3−1+i30000−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ230000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ2300-21+i32−1−i300002−2−ζ7+ζ13ζ7−ζ130000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ13001−i3-2−1+i320000ζ5−ζ23−ζ5+ζ232−20000000
χ484-4022−22001−i31+i3−1+i3−1−i30000ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ130000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ23001+i3-2−1−i320000−ζ7+ζ13ζ7−ζ132−20000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ1300-21−i32−1+i300002−2ζ5−ζ23−ζ5+ζ230000000
χ494-40−222200-2-2220000−22−220000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ23001−i31−i3−1+i3−1+i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ13001+i31+i3−1−i3−1−i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000
χ504-40−2222001+i31−i3−1−i3−1+i30000ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ230000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ2300-21+i32−1−i30000−22ζ7−ζ13−ζ7+ζ130000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ13001−i3-2−1+i320000−ζ5+ζ23ζ5−ζ23−220000000
χ514-40−2222001−i31+i3−1+i3−1−i30000−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ130000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ23001+i3-2−1−i320000ζ7−ζ13−ζ7+ζ13−220000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ1300-21−i32−1+i30000−22−ζ5+ζ23ζ5−ζ230000000
χ5266-6000000002-20000000000000−3+3i3−3+3i33−3i300000000−1+i31−i30000000000000−3−3i3−3−3i33+3i300000000−1−i31+i30000000000000
χ5311111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ541111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32
χ551111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i3211
χ5611111-1-1111111111111-1-11-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32
χ5711111-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32111+i321+i32−1−i321−i321−i32-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−1−i321−1−i32−1+i32−1+i321−1−i3211−1−i32−1−i321−i321−i32−1+i32-1-11+i321+i32
χ5811111-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−1+i321−1+i32−1−i32−1−i321−1+i3211−1+i32−1+i321+i321+i32−1−i32-1-11−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32111−i321−i32−1+i321+i321+i32-1-1
χ59111-1-11-111111111-1-1-1-11-1-11-11-1−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ60111-1-11-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i321-1-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-1−1−i321+i321+i32−1+i321−i321-1−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−1−i321−1−i32−1+i32−1+i321−1−i32-1-11+i321+i32−1+i321−i321−i321-1−1−i321+i32
χ61111-1-11-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i321-1-1−1+i321−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321−1+i321−1+i32−1−i32−1−i321−1+i32-1-11−i321−i32−1−i321+i321+i321-1−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-1−1+i321−i321−i32−1−i321+i321-1
χ62111-1-1-1111111111-1-1-1-1-11-1-11-11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ63111-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32-11-11+i32−1−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i32−1−i321+i321−i32−1+i32-11−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−1−i321−1−i32−1+i32−1+i321−1−i32-1-11+i321+i321−i32−1+i321−i32-111+i32−1−i32
χ64111-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32-11-11−i32−1+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321−1+i321−1+i32−1−i32−1−i321−1+i32-1-11−i321−i321+i32−1−i321+i32-111−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i32−1+i321−i321+i32−1−i32-11
χ6522-200002222-22-2-200000000000−1−i3−1−i31+i30000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i300000000000−1+i3−1+i31−i30000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i300000000000
χ6622-20000−1−i3−1+i3−1−i3−1+i3-221+i31−i300000000000−1−i3−1−i31+i30000−1+i32−1+i321+i3−1−i31−i3-200000000000−1+i3−1+i31−i300002−1−i32−1−i31−i3−1+i3-21+i300000000000
χ6722-20000−1+i3−1−i3−1+i3−1−i3-221−i31+i300000000000−1−i3−1−i31+i300002−1+i32−1+i31+i3−1−i3-21−i300000000000−1+i3−1+i31−i30000−1−i32−1−i321−i3−1+i31+i3-200000000000
χ6833333330000-1-1000000-1-1-10000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i3200001+i321+i320000001+i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i3200001−i321−i320000001−i321−i321−i320000
χ6933333-3-30000-1-100000011-10000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i3200001+i321+i32000000−1−i32−1−i321+i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i3200001−i321−i32000000−1+i32−1+i321−i320000
χ70333-3-33-30000-1-1000000-1110000−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i3200001+i321+i320000001+i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i3200001−i321−i320000001−i32−1+i32−1+i320000
χ71333-3-3-330000-1-10000001-110000−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i3200001+i321+i32000000−1−i321+i32−1−i320000−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i3200001−i321−i32000000−1+i321−i32−1+i320000
χ724-4022−2200-2-22200002−22−20000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ13001+i31+i3−1−i3−1−i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ23001−i31−i3−1+i3−1+i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000
χ734-4022−22001+i31−i3−1−i3−1+i30000−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ230000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ13001−i3-2−1+i320000ζ5−ζ23−ζ5+ζ232−20000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ2300-21+i32−1−i300002−2−ζ7+ζ13ζ7−ζ130000000
χ744-4022−22001−i31+i3−1+i3−1−i30000ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ130000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ1300-21−i32−1+i300002−2ζ5−ζ23−ζ5+ζ230000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ23001+i3-2−1−i320000−ζ7+ζ13ζ7−ζ132−20000000
χ754-40−222200-2-2220000−22−220000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ13001+i31+i3−1−i3−1−i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ23001−i31−i3−1+i3−1+i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000
χ764-40−2222001+i31−i3−1−i3−1+i30000ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ230000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ13001−i3-2−1+i320000−ζ5+ζ23ζ5−ζ23−220000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ2300-21+i32−1−i30000−22ζ7−ζ13−ζ7+ζ130000000
χ774-40−2222001−i31+i3−1+i3−1−i30000−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ130000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ1300-21−i32−1+i30000−22−ζ5+ζ23ζ5−ζ230000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ23001+i3-2−1−i320000ζ7−ζ13−ζ7+ζ13−220000000
χ7866-6000000002-20000000000000−3−3i3−3−3i33+3i300000000−1−i31+i30000000000000−3+3i3−3+3i33−3i300000000−1+i31−i30000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.